C cheertink New member Joined Dec 14, 2005 Messages 1 Dec 14, 2005 #1 I need some help! Can anyone figure this problem out for me? Let C be the positively oriented circle x^2+y^2=1. Use Green's Theorem to evaluate the line integral 7ydx+14xdy Thanks!!
I need some help! Can anyone figure this problem out for me? Let C be the positively oriented circle x^2+y^2=1. Use Green's Theorem to evaluate the line integral 7ydx+14xdy Thanks!!
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,203 Dec 15, 2005 #2 You have a circle of radius 1. \(\displaystyle \frac{\partial}{\partial(x)}14x-\frac{\partial}{\partial(y)}7y\) \(\displaystyle 14-7=7\) \(\displaystyle 7{\int_0^{2{\pi}}{\int_0^{1}}rdrd{\theta}\) \(\displaystyle =7{\pi}\)
You have a circle of radius 1. \(\displaystyle \frac{\partial}{\partial(x)}14x-\frac{\partial}{\partial(y)}7y\) \(\displaystyle 14-7=7\) \(\displaystyle 7{\int_0^{2{\pi}}{\int_0^{1}}rdrd{\theta}\) \(\displaystyle =7{\pi}\)
